Research on phase diagram of traffic flow in a single loop roundabout under open boundary condition

Many cellular automaton models (CA models) have been applied to analyze traffic flow. When analyzing multilane traffic flow, it is important how we define lane-changing rules. However, conventional models have used simple lane-changing rules that are dependent only on the distance from neighboring vehicles. We propose a new lane-changing rule considering velocity differences with neighboring vehicles; in addition, we embed the rules into a variant of the Nagel–Schreckenberg (NaSch) model, called the S-NFS model, by considering an open boundary condition. Using numerical simulations, we clarify the basic characteristics resulting from different assumptions with respect to lane changing.

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Cellular automata model simulating traffic car accidents in the on-ramp system

International Journal of Modern Physics C ◽

10.1142/s0129183115501004 ◽

2015 ◽

Vol 26 (09) ◽

pp. 1550100 ◽

Cited By ~ 12

Author(s):

H. Echab ◽

N. Lakouari ◽

H. Ez-Zahraouy ◽

A. Benyoussef

Keyword(s):

Phase Diagram ◽

Boundary Condition ◽

Cellular Automata ◽

Open Boundary ◽

Open Boundary Condition ◽

Cellular Automata Model ◽

Main Road ◽

Left Boundary ◽

Car Accidents

In this paper, using Nagel–Schreckenberg model we study the on-ramp system under the expanded open boundary condition. The phase diagram of the two-lane on-ramp system is computed. It is found that the expanded left boundary insertion strategy enhances the flow in the on-ramp lane. Furthermore, we have studied the probability of the occurrence of car accidents. We distinguish two types of car accidents: the accident at the on-ramp site (Prc) and the rear-end accident in the main road (Pac). It is shown that car accidents at the on-ramp site are more likely to occur when traffic is free on road A. However, the rear-end accidents begin to occur above a critical injecting rate αc1. The influence of the on-ramp length (LB) and position (xC0) on the car accidents probabilities is studied. We found that large LB or xC0 causes an important decrease of the probability Prc. However, only large xC0 provokes an increase of the probability Pac. The effect of the stochastic randomization is also computed.

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Starting Energy Dissipation of Traffic Flow with On-Ramp

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.275-277.2640 ◽

2013 ◽

Vol 275-277 ◽

pp. 2640-2645

Author(s):

Lan Xiao ◽

Wei Pan ◽

Yu Xue

Keyword(s):

Boundary Condition ◽

Energy Dissipation ◽

Cellular Automata ◽

Traffic Flow ◽

Removal Rate ◽

Injection Rate ◽

Critical Values ◽

Open Boundary ◽

Open Boundary Condition ◽

Main Road

The starting energy dissipation of on-ramp system with open boundary condition is investigated by means of cellular automata simulations. We study the influence of the injection rate of on-ramp, the injection rate of main road and the removal rate of main road on the starting energy dissipation of each road. It is found that even though the injection rates neither of on-ramp nor main road have influence on the starting energy dissipation when critical values achieved, the removal rate of main road has a major impact on the starting energy dissipation of the system all along.

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Effects of the Visibility on Traffic Flow

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.178-181.1782 ◽

2012 ◽

Vol 178-181 ◽

pp. 1782-1785

Author(s):

Ke Zhao Bai ◽

Li Yang ◽

Jian Huang ◽

Rong Sen Zheng ◽

Hua Kuang

Keyword(s):

Boundary Condition ◽

Cellular Automaton ◽

Flux Density ◽

Traffic Flow ◽

Cellular Automaton Model ◽

Open Boundary ◽

Open Boundary Condition ◽

Traffic Jams ◽

Simulation Results ◽

Set Up

Based on the NaSch model, an extended cellular automaton model is proposed to simulate traffic flow by considering the effects of visibility. Under the open boundary condition, the influences of the injection probability, disappearance probability and visibility are discussed. The simulation results show that the injection probability and disappearance probability within a certain range have an important effect on the flux, density and velocity. And traffic jams often occur in poor visibility areas, which can become a road bottleneck. Furthermore, in order to effectively decrease the occurrence of traffic jams, the injection probability and disappearance probability should be set up reasonably.

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Study on the phase diagram of the grade roundabout crossing with open boundary condition

Acta Physica Sinica ◽

10.7498/aps.59.5990 ◽

2010 ◽

Vol 59 (9) ◽

pp. 5990

Author(s):

Bai Ke-Zhao ◽

Kuang Hua ◽

Liu Mu-Ren ◽

Kong Ling-Jiang

Keyword(s):

Phase Diagram ◽

Boundary Condition ◽

Open Boundary ◽

Open Boundary Condition

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TRAFFIC FLOW INFLUENCED BY TRAFFIC LIGHT AND TURNING PROBABILITY FOR A CROSSROAD

International Journal of Modern Physics B ◽

10.1142/s0217979204025865 ◽

2004 ◽

Vol 18 (17n19) ◽

pp. 2658-2662 ◽

Cited By ~ 2

Author(s):

HUILI TAN ◽

CHAOYING ZHANG ◽

LINGJIANG KONG ◽

MUREN LIU

Keyword(s):

Boundary Condition ◽

Cellular Automaton ◽

Traffic Flow ◽

Cellular Automaton Model ◽

Open Boundary ◽

Open Boundary Condition ◽

Traffic Light ◽

Cycle Times ◽

The Road ◽

The Impact

A cellular automaton model with open boundary condition for a crossroad system controlled by a traffic light is presented. The traffic flow and speed of the first part of the road are quite different from those of the second part behind the crossing. The impact of turning probabilities and the cycle times of traffic light on the flow are investigated.

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Study on the Mixing Traffic in a Single-Lane Roundabout with Open Boundary Condition

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.926-930.3657 ◽

2014 ◽

Vol 926-930 ◽

pp. 3657-3660

Author(s):

Rui Hong Dong ◽

Wan Dong Xue ◽

Chang Sheng Zhu

Keyword(s):

Boundary Condition ◽

Traffic Flow ◽

Average Velocity ◽

Critical Level ◽

Open Boundary ◽

Small Range ◽

Open Boundary Condition ◽

Mixed Traffic Flow ◽

Cellular Automation Model ◽

The Impact

Based on the Nagel-Schrekenberg (NaSch) model, a cellular automation model is proposed to describe the mixing traffic flow in a single-lane roundabout with open boundary condition. In this model, the impact of the injection probability and the mixed proportion coefficient on the mixed traffic flow is emphatically studied. Simulation results indicate that the injection probability can change the system density, velocity and flow in a certain range for a constant mixed proportion coefficient. Moreover, for a fixed injection probability, when the injection probability is lower than the critical level, the system average velocity will be more affected by the mixed proportion coefficient, By contrast, the system flow will not change by the mixed proportion coefficient; When the injection probability is higher than the critical level, the mixed proportion coefficient can only change the system density, average velocity and flow in a small range.

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